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Finding the Third Proportional to 235,919,347 and 517,188,325

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Solution

The third proportional to 235,919,347 and 517,188,325 is: 1,133,793,251.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,919,347 : 517,188,325 = 517,188,325 : x
  2. Step 2: Convert to fraction form
    235,919,347/517,188,325 = 517,188,325/x
  3. Step 3: Cross multiply
    235,919,347x = 517,188,325 × 517,188,325
  4. Step 4: Simplify right side
    235,919,347x = 267,483,763,516,305,632
  5. Step 5: Solve for x
    x = 267,483,763,516,305,632/235,919,347
  6. Step 6: Final answer
    x = 1,133,793,251.46

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.